Fluctuations in the email size modeled by a log-normal-like distribution

Fuente: arXiv
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Autor principal: Matsubara, Yoshitsugu
Formato: Preprint
Publicado: 2025
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author Matsubara, Yoshitsugu
author_facet Matsubara, Yoshitsugu
contents A previously established frequency distribution model combining a log-normal distribution with a logarithmic equation describes fluctuations in the email size during send requests. Although the frequency distribution fit was considered satisfactory, the underlying mechanism driving this distribution remains inadequately explained. To address this gap, this study introduced a novel email-send model that characterizes the sending process as an exponential function modulated by noise from a normal distribution. This model is consistent with both the observed frequency distribution and the previously proposed frequency distribution model.
format Preprint
id arxiv_https___arxiv_org_abs_2501_04042
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fluctuations in the email size modeled by a log-normal-like distribution
Matsubara, Yoshitsugu
Physics and Society
Data Analysis, Statistics and Probability
A previously established frequency distribution model combining a log-normal distribution with a logarithmic equation describes fluctuations in the email size during send requests. Although the frequency distribution fit was considered satisfactory, the underlying mechanism driving this distribution remains inadequately explained. To address this gap, this study introduced a novel email-send model that characterizes the sending process as an exponential function modulated by noise from a normal distribution. This model is consistent with both the observed frequency distribution and the previously proposed frequency distribution model.
title Fluctuations in the email size modeled by a log-normal-like distribution
topic Physics and Society
Data Analysis, Statistics and Probability
url https://arxiv.org/abs/2501.04042